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Finding the Fourth Proportional to 54,642.53, 75,408.56 and 31,983.63

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Solution

The fourth proportional to 54,642.53, 75,408.56 and 31,983.63 is: 44,138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,642.53 : 75,408.56 = 31,983.63 : x
  2. Step 2: Convert to fraction form
    54,642.53/75,408.56 = 31,983.63/x
  3. Step 3: Cross multiply
    54,642.53x = 75,408.56 × 31,983.63
  4. Step 4: Simplify right side
    54,642.53x = 2,411,839,481.87
  5. Step 5: Solve for x
    x = 2,411,839,481.87/54,642.53
  6. Step 6: Final answer
    x = 44,138.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.